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pro vyhledávání: '"Michel Matthey"'
Autor:
Michel Matthey
Publikováno v:
Géo-Regards. 10:197-204
Publikováno v:
Bulletin de la société mathématique de France
Bulletin de la société mathématique de France, Société Mathématique de France, 2008, 136 (1), pp.1-25
Bulletin de la société mathématique de France, 2008, 136 (1), pp.1-25
Bulletin de la société mathématique de France, Société Mathématique de France, 2008, 136 (1), pp.1-25
Bulletin de la société mathématique de France, 2008, 136 (1), pp.1-25
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable 3-manifolds, including the ``piecewise geometric'' ones in the sense of Thurston. In par
Autor:
Paul Balmer, Michel Matthey
Publikováno v:
Advances in Mathematics. 189:495-500
The Isomorphism Conjectures are translated into the language of homotopical algebra, where they resemble Thomason's descent theorems.
Autor:
Michel Matthey, Paul Balmer
Publikováno v:
Topology and its Applications. 145(1-3):11-59
Consider a cofibrantly generated model category $S$, a small category $C$ and a subcategory $D$ of $C$. We endow the category $S^C$ of functors from $C$ to $S$ with a model structure, defining weak equivalences and fibrations objectwise but only on $
Autor:
Guido Mislin, Michel Matthey
Publikováno v:
K-Theory. 32:167-179
Autor:
Michel Matthey
Publikováno v:
Advances in Mathematics. 183(2):316-379
For a discrete group Γ, we explicitly describe the rational Baum–Connes assembly map μ ∗ Γ ⊗id C in “homological degree ⩽2” and show that in this domain it factors through the algebraic K-theory of the complex group ring of Γ. We also
Autor:
Michel Matthey, Hervé Oyono-Oyono
Publikováno v:
Proceedings of the London Mathematical Society. 85:43-61
We prove that the Novikov assembly map for a group $\Gamma$ factorizes, in ‘low homological degree’, through the algebraic K-theory of its integral group ring. In homological degree 2, this answers a question posed by N. Higson and P. Julg. As a
Autor:
Michel Matthey
Publikováno v:
K-Theory. 24:87-107
Autor:
Michel Matthey, Paul Balmer
Publikováno v:
Homology Homotopy Appl. 8, no. 1 (2006), 211-242
We establish a general method to produce cofibrant approximations in the model category $U_S(C,D)$ of $S$-valued $C$-indexed diagrams with $D$-weak equivalences and $D$-fibrations. We also present explicit examples of such approximations. Here, $S$ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a80a6ec7bf678846233985790f62e12
http://projecteuclid.org/euclid.hha/1140012471
http://projecteuclid.org/euclid.hha/1140012471
Publikováno v:
Journal of K-Theory
For compact hyperbolic 3-manifolds we lift the Bloch invariant defined by Neumann and Yang to an integral class in K_3(C) Applying the Borel and the Bloch regulators, one gets back the volume and the Chern-Simons invariant of the manifold. We also di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b0c199bf69e47069faebefa1547e662